Although the Standard Model (SM) of particles and interactions has survived forty years of experimental tests, it does not provide a complete description of nature. From cosmological and astrophysical observations, it is now clear that the majority of matter in the universe is not baryonic and interacts very weakly (if at all) via non-gravitational forces. The SM does not provide a dark matter candidate, so new particles must be introduced. Furthermore, recent Tevatron results suggest that SM predictions for benchmark collider observables are in tension with experimental observations. In this thesis, we will propose extensions to the SM that address each of these issues.;Although there is abundant indirect evidence for the existence of dark matter, terrestrial efforts to observe its interactions have yielded conflicting results. We address this situation with a simple model of dark matter that features hydrogen-like bound states that scatter off SM nuclei by undergoing inelastic hyperfine transitions. We explore the available parameter space that results from demanding that DM self-interactions satisfy experimental bounds and ameliorate the tension between positive and null signals at the DAMA and CDMS experiments respectively.;However, this simple model does not explain the cosmological abundance of dark matter and also encounters a Landau pole at a low energy scale. We, therefore, extend the field content and gauge group of the dark sector to resolve these issues with a renormalizable UV completion. We also explore the galactic dynamics of unbound dark matter and find that "dark ions" settle into a diffuse isothermal halo that differs from that of the bound states. This suppresses the local dark-ion density and expands the model's viable parameter space.;We also consider the > 3sigma excess in W plus dijet events recently observed at the Tevatron collider. We show that decays of a color-octet, electroweak-triplet scalar particle ("octo-triplet") can yield the requisite final state to explain the data. We also find that octotriplets can induce mixing in the B -- B¯ system and may give rise to additional CP violation. The model makes concrete predictions for several final states accessible at the LHC, so it can promptly be discovered or falsified.;Finally we address the anomalous top forward-backward asymmetry observed the Tevatron. We find that a spin-1 color octet particle with flavor blind axial interactions can explain this anomaly if the mass is in the 50 -- 90 GeV range. We explore the multitude of experimental constrains in this mass window and present the viable parameter space as a function of the axigluon mass and coupling constant. |